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Finding the Fourth Proportional to 336.50, 464.64 and 262.69

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Solution

The fourth proportional to 336.50, 464.64 and 262.69 is: 362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.50 : 464.64 = 262.69 : x
  2. Step 2: Convert to fraction form
    336.50/464.64 = 262.69/x
  3. Step 3: Cross multiply
    336.50x = 464.64 × 262.69
  4. Step 4: Simplify right side
    336.50x = 122,056.75
  5. Step 5: Solve for x
    x = 122,056.75/336.50
  6. Step 6: Final answer
    x = 362.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.